7708480 has 112 divisors (see below), whose sum is σ = 21122640. Its totient is φ = 2654208.

The previous prime is 7708457. The next prime is 7708483. The reversal of 7708480 is 848077.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 7706176 = 48^2 + 2776^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7708483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70666 + ... + 70774.

It is an arithmetic number, because the mean of its divisors is an integer number (188595).

Almost surely, 2^7708480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561320).

7708480 is an abundant number, since it is smaller than the sum of its proper divisors (13414160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7708480 is a wasteful number, since it uses less digits than its factorization.

7708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7708480 is about 2776.4149545772. The cubic root of 7708480 is about 197.5405460738.

The spelling of 7708480 in words is "seven million, seven hundred eight thousand, four hundred eighty".